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Abstract

This work suggests a system of ordinary differential equations (ODEs) containing a three-species food chain model incorporating wind and fear effects. The properties of the solution, like positivity and bound-ness, were investigated. All equilibrium points (biologically feasible) have been obtained, and the local stability of these equilibriums has been carried out. The global stability outcomes on the equilibrium points under specific restrictions have been established. Also, the persistence restrictions have been investigated. By utilizing Sotomayor’s theorem, the local bifurcation of the suggested model has been inspected. Furthermore, numerical analysis was carried out to ensure the theoretical results obtained by utilizing MATLAB code (using version R2018b) and showed how changing parameter values affected the dynamic behavior of a food chain system. The wind is an important abiotic component in the environment that can affect predation. Our outcomes point out that fear has various effects on the system, which can stabilize and destabilize the system. Also, increasing the strength of wind flow acts as a barricade in the search for food and hunting efficiency of predators which leads to their extinction.

Keywords

Equilibrium points, Fear effect, Food chain, Stability analysis, Wind effect

Subject Area

Mathematics

Article Type

Article

First Page

18094

Last Page

18113

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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